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Finding the Third Proportional to 74,657 and 161,192

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Solution

The third proportional to 74,657 and 161,192 is: 348,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,657 : 161,192 = 161,192 : x
  2. Step 2: Convert to fraction form
    74,657/161,192 = 161,192/x
  3. Step 3: Cross multiply
    74,657x = 161,192 × 161,192
  4. Step 4: Simplify right side
    74,657x = 25,982,860,864
  5. Step 5: Solve for x
    x = 25,982,860,864/74,657
  6. Step 6: Final answer
    x = 348,029.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.